I would not try to vomit her.
It's doughy, so it's a slow moving crop. I would try stool softener with coconut oil first.
Some people do perform their own surgery and have been successful. If the crop itself is blocked up that may work.
What a cute photo of her with your son:)
Her crop is not empty in the morning, she's got some crop issues. Now, it could be that it's a symptom of reproductive problems since she has not laid an egg in a while.
Nonetheless, you need to start treating the crop. I would not try to vomit her...